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Finding the Fourth Proportional to 1,206.25, 1,809.70 and 426.44

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Solution

The fourth proportional to 1,206.25, 1,809.70 and 426.44 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.25 : 1,809.70 = 426.44 : x
  2. Step 2: Convert to fraction form
    1,206.25/1,809.70 = 426.44/x
  3. Step 3: Cross multiply
    1,206.25x = 1,809.70 × 426.44
  4. Step 4: Simplify right side
    1,206.25x = 771,731.93
  5. Step 5: Solve for x
    x = 771,731.93/1,206.25
  6. Step 6: Final answer
    x = 639.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.